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Byju's Answer
Standard VIII
Mathematics
Equally Likely Outcomes
Three coins a...
Question
Three coins are tossed together. Find the probability of getting:
(i) exactly two heads
(ii) at least two heads
(iii) at least one head and one tail
(iv) no tails
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Solution
When
3
coins
are
tossed
together
,
the
outcomes
are
as
follows
:
S
=
h
,
h
,
h
,
h
,
h
,
t
,
h
,
t
,
h
,
h
,
t
,
t
,
t
,
h
,
h
,
t
,
h
,
t
,
t
,
t
,
h
,
t
,
t
,
t
Therefore
,
the
total
number
of
outcomes
is
8
.
(
i
)
Let
A
be
the
event
of
getting
triplets
having
exactly
2
heads
.
Triplets
having
exactly
2
heads
:
h
,
h
,
t
,
h
,
t
,
h
,
t
,
h
,
h
Therefore
,
the
total
number
of
favourable
outcomes
is
3
.
P
A
=
Number
of
favourable
outcomes
Total
number
of
outcomes
=
3
8
(
ii
)
Let
A
be
the
event
of
getting
triplets
having
at
least
2
heads
.
Triplets
having
at
least
2
heads
:
h
,
h
,
t
,
h
,
t
,
h
,
t
,
h
,
h
,
h
,
h
,
h
Therefore
,
the
total
number
of
favourable
outcomes
is
4
.
P
A
=
Number
of
favourable
outcomes
Total
number
of
outcomes
=
4
8
=
1
2
(
iii
)
Let
A
be
the
event
of
getting
triplets
having
at
least
one
head
and
one
tail
.
Triplets
having
at
least
one
head
and
one
tail
:
h
,
h
,
t
,
h
,
t
,
h
,
t
,
h
,
h
,
h
,
h
,
t
,
t
,
t
,
h
,
t
,
h
,
t
Therefore
,
the
total
number
of
favourable
outcomes
is
6
.
P
A
=
Number
of
favourable
outcomes
Total
number
of
outcomes
=
6
8
=
3
4
(
iv
)
Let
A
be
the
event
of
getting
triplets
having
no
tail
.
Triplets
having
no
tail
:
h
,
h
,
h
Therefore
,
the
total
number
of
favourable
outcomes
is
1
.
P
A
=
Number
of
favourable
outcomes
Total
number
of
outcomes
=
1
8
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0
Similar questions
Q.
Three different coins are tossed together. Find the probability of getting
(i) exactly two heads
(ii) at least two heads
(iii) at least two tails
Q.
Three different coins are tossed together find the probability of .
i) Exactly two heads ii) At least one tails
ii) Almost two heads iv) At most two tails
v) At least two tails vi) At most one head
vii) At least one head
Q.
Three coins are tossed together. Find the probability of getting:
(a) exactly two heads
(b) at most two heads
(c) at least one head and one tail.
(d) no tails
